Uniform attractors for a class of stochastic evolution equations with multiplicative fractional noise
DOI10.1142/S0219493721500209zbMath1481.37095OpenAlexW3081311279MaRDI QIDQ5157728
Caibin Zeng, Hongyong Cui, Xiaofang Lin
Publication date: 20 October 2021
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219493721500209
fractional Brownian motionfractional derivativerandom uniform attractornon-autonomous random dynamical system
Fractional processes, including fractional Brownian motion (60G22) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25) Infinite-dimensional random dynamical systems; stochastic equations (37L55)
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Cites Work
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- Non-autonomous dynamical systems
- Local pathwise solutions to stochastic evolution equations driven by fractional Brownian motions with Hurst parameters \(H\in (1/3,1/2\)]
- Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than \(1/2\) and random dynamical systems
- Random attractors for non-autonomous stochastic wave equations with multiplicative noise
- Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
- Uniform attractors for non-autonomous random dynamical systems
- Random attractors for a class of stochastic partial differential equations driven by general additive noise
- Ergodicity of the infinite dimensional fractional Brownian motion
- Convex analysis and measurable multifunctions
- Integration with respect to fractal functions and stochastic calculus. I
- Attractors for random dynamical systems
- Random attractors
- Differential equations driven by fractional Brownian motion
- Exponential stability of stochastic evolution equations driven by small fractional Brownian motion with Hurst parameter in \((1/2,1)\)
- Asymptotical stability of differential equations driven by Hölder continuous paths
- Pathwise solution to rough stochastic lattice dynamical system driven by fractional noise
- Stochastic calculus for fractional Brownian motion and related processes.
- Relation between different types of global attractors of set-valued nonautonomous dynamical systems
- Random Dynamical Systems for Stochastic Evolution Equations Driven by Multiplicative Fractional Brownian Noise with Hurst Parameters $H{\in} (1/3,1/2$]
- RANDOM ATTRACTORS OF STOCHASTIC LATTICE DYNAMICAL SYSTEMS DRIVEN BY FRACTIONAL BROWNIAN MOTIONS
- Limitations of pullback attractors for processes
- Random Attractors for Stochastic Evolution Equations Driven by Fractional Brownian Motion
- RANDOM ATTRACTORS FOR STOCHASTIC EQUATIONS DRIVEN BY A FRACTIONAL BROWNIAN MOTION
- Random attractors for the 3d stochastic navier-stokes equation with multiplicative white noise
- Stochastic Calculus for Fractional Brownian Motion and Applications
- Stochastic Lattice Dynamical Systems with Fractional Noise
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